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4 votes

Bounds on the smallest real positive root of a polynomial

The structure of the polynomial $P(x)=−ax^q+bx^p−c$, for $a,b,c>0$, $q>p$ is very suitable for analysis with Descartes Rule of Signs. Since $P(x)$ has two sign changes in its coefficients it can hav …
Iddo Hanniel's user avatar